anonymous
  • anonymous
the electric potential in a region of space is \[V=350/\sqrt{x ^{2}+y ^{2}}\] where x and y are in meters. what is the strength of electric field at (x,y)=(2.6,2.8)m?
Physics
schrodinger
  • schrodinger
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anonymous
  • anonymous
E=-dV/ds. gradient V= 350(-1/2)(x^2+y^2)^(-3/2)(2x)+350(-1/2)(x^2+y^2)^(-3/2)(2y). anything wrong so far?
anonymous
  • anonymous
That kinda how i did it but I keep getting the wrong answer. Let me know if this formula worked for you
anonymous
  • anonymous
my answer's not working either =/

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TuringTest
  • TuringTest
wrong so far is that you have written the gradient as a scalar when it is a vector
TuringTest
  • TuringTest
\[\vec E=-\nabla V=<-350x(x^2+y^2)^{-3/2},-350y(x^2+y^2)^{-3/2}>\]now plug in the variables and find the magnitude of the vector
TuringTest
  • TuringTest
the magnitude is given by\[\large |E|=\sqrt{E_x^2+E_y^2}\]
anonymous
  • anonymous
thank you
TuringTest
  • TuringTest
welcome, I hope it works
anonymous
  • anonymous
worked!!
TuringTest
  • TuringTest
sweet :D
anonymous
  • anonymous
If you cartesian coordiante to spherical coordiante, you will find the answer easier.
anonymous
  • anonymous
o yea but how? use r=sqrt(x^2+y^2) and then......? can't believe i can't remember how

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